This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives a

The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of kn

This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional vari

Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model progra

The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especia